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Finding the Fourth Proportional to 712.66, 1,068.45 and 480.90

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Solution

The fourth proportional to 712.66, 1,068.45 and 480.90 is: 720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.66 : 1,068.45 = 480.90 : x
  2. Step 2: Convert to fraction form
    712.66/1,068.45 = 480.90/x
  3. Step 3: Cross multiply
    712.66x = 1,068.45 × 480.90
  4. Step 4: Simplify right side
    712.66x = 513,817.61
  5. Step 5: Solve for x
    x = 513,817.61/712.66
  6. Step 6: Final answer
    x = 720.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.